Step by step solution because that calculating 270 is 90 percent the what number
We currently have our an initial value 270 and the second value 90. Let"s assume the unknown value is Y i m sorry answer we will find out.
You are watching: 270 is what percent of 90
As we have all the compelled values us need, currently we deserve to put castle in a straightforward mathematical formula as below:
STEP 1270 = 90% × Y
STEP 2270 = 90/100× Y
Multiplying both political parties by 100 and dividing both sides of the equation by 90 we will certainly arrive at:
STEP 3Y = 270 × 100/90
STEP 4Y = 270 × 100 ÷ 90
STEP 5Y = 300
Finally, us have found the value of Y i m sorry is 300 and that is ours answer.
You can conveniently calculate 270 is 90 percent the what number through using any kind of regular calculator, simply get in 270 × 100 ÷ 90 and also you will obtain your answer i m sorry is 300
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Sample questions, answers, and how to
Question: your friend has actually a bag that marbles, and he tells you that 90 percent the the marbles space red. If there space 270 red marbles. How many marbles does he have actually altogether?
Answer: 300 marbles.
How To: In this problem, we recognize that the Percent is 90, and we are additionally told the the component of the marbles is red, for this reason we know that the part is 270.
So, that method that it must be the total that"s missing. Below is the way to figure out what the complete is:
Part/Total = Percent/100
By using a straightforward algebra we deserve to re-arrange our Percent equation choose this:
Part × 100/Percent = Total
If we take the "Part" and also multiply it by 100, and then we divide that through the "Percent", us will obtain the "Total".
Let"s shot it out on our problem around the marbles, that"s very basic and it"s simply two steps! We understand that the "Part" (red marbles) is 270.
So step one is to simply multiply that part by 100.
270 × 100 = 27000
In step two, we take that 27000 and also divide that by the "Percent", i beg your pardon we are told is 90.
So, 27000 split by 90 = 300
And that way that the total variety of marbles is 300.
Question: A high college marching band has actually 270 flute players, If 90 percent of the tape members beat the flute, then how many members are in the band?
Answer: There space 300 members in the band.
How To: The smaller "Part" in this problem is 270 due to the fact that there are 270 flute players and also we are told the they make up 90 percent of the band, therefore the "Percent" is 90.
Again, it"s the "Total" that"s absent here, and to discover it, we just need to follow our 2 step procedure as the ahead problem.
For step one, us multiply the "Part" by 100.
270 × 100 = 27000
For action two, we divide that 27000 through the "Percent", which is 90.
See more: T-Roy What You Been Thinking Questions, Here'S What I'Ve Been Thinking
27000 split by 90 amounts to 300
That way that the total number of band members is 300.
Another action by step method
Step 1: Let"s assume the unknown worth is Y
Step 2: first writing it as: 100% / Y = 90% / 270
Step 3: drop the percent marks to leveling your calculations: 100 / Y = 90 / 270
Step 4: multiply both political parties by Y to relocate Y top top the ideal side the the equation: 100 = ( 90 / 270 ) Y
Step 5: simple the best side, us get: 100 = 90 Y
Step 6: dividing both political parties of the equation by 90, we will arrive at 300 = Y
This pipeline us through our last answer: 270 is 90 percent that 300
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